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Finding the Fourth Proportional to 49,010, 67,633.80 and 29,138

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Solution

The fourth proportional to 49,010, 67,633.80 and 29,138 is: 40,210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,010 : 67,633.80 = 29,138 : x
  2. Step 2: Convert to fraction form
    49,010/67,633.80 = 29,138/x
  3. Step 3: Cross multiply
    49,010x = 67,633.80 × 29,138
  4. Step 4: Simplify right side
    49,010x = 1,970,713,664.40
  5. Step 5: Solve for x
    x = 1,970,713,664.40/49,010
  6. Step 6: Final answer
    x = 40,210.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.